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4 Shear Stress in Beams
SS
fig by Case, Chilver, Ross, Strenth of Materials and Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Lecture Overview
4.1 Shear Flow (horizontal Plane)
1 example
4.2 Shearing Stress Formula
4.2 Shearing Stress Formula
1 example
4.3 Shear Flow and Shear stress (vert. plane)
1 example
1 example
4.4 Shearing Stress in thin walled members
1 example (Shear Center)
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
recalling:
relation of shear stress, shear force and bending moment functions
dM fig by Case, Chilver, Ross, Strenth of Materials and Structures
=
=
M' =
M =
V
V
dx
dV
V' =
= -w
dx
fig by J.L. Meriam, L.G. Kraige, Engineering Mechanics I
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
fig by G. Schierle, Architectural Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
fig by G. Schierle, Architectural Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
fig by G. Schierle, Architectural Structures
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
fig by da Silva, Mechanics and Strength of Materials
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
fig by da Silva, Mechanics and Strength of Materials
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
1 =
q 1 0.465kN / cm
= = 0.465 kN / cm²
2 t 2 0.5cm
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
1 =
q 1 0.465kN / cm
= = 0.465 kN / cm²
2 t 2 0.5cm
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
1 =
q 1 0.465kN / cm
= = 0.465 kN / cm²
2 t 2 0.5cm
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
fig by Case, Chilver, Ross, Strenth of Materials and Structures fig by da Silva, Mechanics and Strength of Materials
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier
Strength of Materials Department of
ADDIS ABABA UNIVERSITY
Faculty of Technology Civil Engineering
material by Karsten Schlesier

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AAU_som_4_shear in beams.doc

  • 1. 4 Shear Stress in Beams SS fig by Case, Chilver, Ross, Strenth of Materials and Structures Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 2. Lecture Overview 4.1 Shear Flow (horizontal Plane) 1 example 4.2 Shearing Stress Formula 4.2 Shearing Stress Formula 1 example 4.3 Shear Flow and Shear stress (vert. plane) 1 example 1 example 4.4 Shearing Stress in thin walled members 1 example (Shear Center) Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 3. recalling: relation of shear stress, shear force and bending moment functions dM fig by Case, Chilver, Ross, Strenth of Materials and Structures = = M' = M = V V dx dV V' = = -w dx fig by J.L. Meriam, L.G. Kraige, Engineering Mechanics I Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 4. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 5. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 6. fig by G. Schierle, Architectural Structures Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 7. fig by G. Schierle, Architectural Structures Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 8. fig by G. Schierle, Architectural Structures Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 9. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 10. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 11. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 12. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 13. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 14. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 15. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 16. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 17. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 18. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 19. fig by da Silva, Mechanics and Strength of Materials Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 20. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 21. fig by da Silva, Mechanics and Strength of Materials Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 22. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 23. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 24. 1 = q 1 0.465kN / cm = = 0.465 kN / cm² 2 t 2 0.5cm Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 25. 1 = q 1 0.465kN / cm = = 0.465 kN / cm² 2 t 2 0.5cm Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 26. 1 = q 1 0.465kN / cm = = 0.465 kN / cm² 2 t 2 0.5cm Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 27. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 28. fig by Case, Chilver, Ross, Strenth of Materials and Structures fig by da Silva, Mechanics and Strength of Materials Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 29. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 30. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier
  • 31. Strength of Materials Department of ADDIS ABABA UNIVERSITY Faculty of Technology Civil Engineering material by Karsten Schlesier